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Finding the Fourth Proportional to 11,688.48, 17,532 and 4,665.60

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Solution

The fourth proportional to 11,688.48, 17,532 and 4,665.60 is: 6,998.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.48 : 17,532 = 4,665.60 : x
  2. Step 2: Convert to fraction form
    11,688.48/17,532 = 4,665.60/x
  3. Step 3: Cross multiply
    11,688.48x = 17,532 × 4,665.60
  4. Step 4: Simplify right side
    11,688.48x = 81,797,299.20
  5. Step 5: Solve for x
    x = 81,797,299.20/11,688.48
  6. Step 6: Final answer
    x = 6,998.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.